Q.

Find electric field (in N/C) at point P in vector form due to point charges kept as shown (Here charge Q=0.25 μC)

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a

104i^+72j^+72k^

b

108i^-72j^-72k^

c

72i^+108j^-72k^

d

108i^+72j^-70k^

answer is B.

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Detailed Solution

r1=3-0i^+0-4j^+0-0k^ r1=3i^-4j^and r1=32+42=5 r2=3-0i^+0-0j^+0-4k^ r2=3i^-4k^ and r2=32+42=5

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E1=kQr12r1^=9×10925×10-8523i^-4j^5 =183i^-4j^=54i^-72j^ N/C Similarly, E2=kQr22r2^=9×10925×10-8523i^-4k^5 =183i^-4k^=54i^-72k^ N/C

Net field at P, E=E1+E2=54i^-72j^+54i^-72k^ =108i^-72j^-72k^

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